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平方数也称完全平方数,有不少有趣的性质.在这里介绍三朵“小花”.1.两个平方数的和与另两个平方数和的乘积仍旧是某两个平方数的和.例如(12+22)×(22+32)=65=42+72.这一结论是否永远正确?你能证明这一命题吗?2.如果三个整数的平方和是另一个整数的平方,那么这三个整数中至少有
The square number is also called the complete square number. There are many interesting properties. Here we introduce three “small flowers”. 1. The product of the sum of two squares and the sum of the other two squares is still the sum of two squares. For example (12+22)×(22+32)=65=42+72. Is this conclusion always correct? Can you prove this proposition? 2. If the sum of squares of three integers is the square of another integer , then at least there are three integers